Numerical methods for partial differential equations (101.773 and 101.775)

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First lecture: 14:00 on 1. March 2021 via ZOOM. You can find the link in the TUWEL course of the lecture.

Lecture and exercise: Philip Lederer (Philip Lederer)

Notes on lecture and exercise

- Lecture notes: pdf

- In the exercises, we are going to use NGSolve: Tutorials: i-Tutorials, You can also install Jupyter notebook, an use the tutorials by starting iFEM.ipynb

Additional literature

Finite element methods:

Dietrich Braess: Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics, Cambridge University Press, 2007

Cleas Johnson: Numerical Solution of Partial Differential Equations by the Finite Element Method, Cambridge Univ. Press, 1987, Dover 2009

Susanne Brenner & Ridgway Scott: The Mathematical Theory of Finite Elements, Springer 2008

Alexandre Ern & Jean-Luc Guermond: Theory and Practice of Finite Elements, Springer, 2010

Applied functional analysis:

Lineare Funktionalanalysis: Eine anwendungsorientierte Einführung (Hans Wilhelm Alt)

Angewandte Funktionalanalysis: Funktionalanalysis, Sobolev-Räume und elliptische Differentialgleichungen(Manfred Dobrowolski)

Applied Functional Analysiss (Tinsley Oden, Leszek Demkowicz)